# Give the 24th Term of the Sequence 3, 8, 13, 18, . . .

In an arithmetic sequence, the difference between any two consecutive terms is the same throughout the sequence.

## Answer: The 24th Term of the Sequence 3, 8, 13, 18, . . . is 118.

Let's find the nth term of the sequence.

**Explanation:**

The equation for the nth term can be found using the formula a_{n} = [a + (n - 1) d]

In the sequence 3, 8, 13, 18, . . .

Given a_{1} = 3

d = a_{2 }- a_{1} = 8 - 3 = 5

⇒ a_{24} = [a + (n - 1) d]

⇒ a_{24} = [3 + (24 - 1) (5)]

⇒ a_{24} = [3 + (23)(5)]

⇒ a_{24} = [3 + (115)]

⇒ a_{24} = 118

We can use an online arithmetic sequence calculator to calculate the nth term.